extended to phenopower law

This commit is contained in:
Sharan Roongta 2020-09-22 16:04:14 +02:00
parent ac54bd7eb5
commit 711506df37
1 changed files with 99 additions and 99 deletions

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@ -8,28 +8,28 @@ submodule(constitutive:constitutive_plastic) plastic_phenopowerlaw
type :: tParameters
real(pReal) :: &
gdot0_slip = 1.0_pReal, & !< reference shear strain rate for slip
gdot0_twin = 1.0_pReal, & !< reference shear strain rate for twin
n_slip = 1.0_pReal, & !< stress exponent for slip
n_twin = 1.0_pReal, & !< stress exponent for twin
spr = 1.0_pReal, & !< push-up factor for slip saturation due to twinning
c_1 = 1.0_pReal, &
c_2 = 1.0_pReal, &
c_3 = 1.0_pReal, &
c_4 = 1.0_pReal, &
h0_SlipSlip = 1.0_pReal, & !< reference hardening slip - slip
h0_TwinSlip = 1.0_pReal, & !< reference hardening twin - slip
h0_TwinTwin = 1.0_pReal, & !< reference hardening twin - twin
a_slip = 1.0_pReal
dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip
dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin
n_sl = 1.0_pReal, & !< stress exponent for slip
n_tw = 1.0_pReal, & !< stress exponent for twin
f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning
c_1 = 1.0_pReal, &
c_2 = 1.0_pReal, &
c_3 = 1.0_pReal, &
c_4 = 1.0_pReal, &
h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip
h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip
h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin
a_sl = 1.0_pReal
real(pReal), allocatable, dimension(:) :: &
xi_slip_sat, & !< maximum critical shear stress for slip
H_int, & !< per family hardening activity (optional)
gamma_twin_char !< characteristic shear for twins
xi_inf_sl, & !< maximum critical shear stress for slip
h_int, & !< per family hardening activity (optional)
gamma_tw_char !< characteristic shear for twins
real(pReal), allocatable, dimension(:,:) :: &
interaction_SlipSlip, & !< slip resistance from slip activity
interaction_SlipTwin, & !< slip resistance from twin activity
interaction_TwinSlip, & !< twin resistance from slip activity
interaction_TwinTwin !< twin resistance from twin activity
h_sl_sl, & !< slip resistance from slip activity
h_sl_tw, & !< slip resistance from twin activity
h_tw_sl, & !< twin resistance from slip activity
h_tw_tw !< twin resistance from twin activity
real(pReal), allocatable, dimension(:,:,:) :: &
P_sl, &
P_tw, &
@ -78,8 +78,8 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
integer, dimension(:), allocatable :: &
N_sl, N_tw
real(pReal), dimension(:), allocatable :: &
xi_slip_0, & !< initial critical shear stress for slip
xi_twin_0, & !< initial critical shear stress for twin
xi_0_sl, & !< initial critical shear stress for slip
xi_0_tw, & !< initial critical shear stress for twin
a !< non-Schmid coefficients
character(len=pStringLen) :: &
extmsg = ''
@ -128,36 +128,36 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
prm%nonSchmid_pos = prm%P_sl
prm%nonSchmid_neg = prm%P_sl
endif
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(N_sl, &
pl%get_asFloats('h_sl_sl'), &
phase%get_asString('lattice'))
prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl, &
pl%get_asFloats('h_sl_sl'), &
phase%get_asString('lattice'))
xi_slip_0 = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl))
prm%xi_slip_sat = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl))
prm%H_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), &
defaultVal=[(0.0_pReal,i=1,size(N_sl))])
xi_0_sl = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl))
prm%xi_inf_sl = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl))
prm%h_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), &
defaultVal=[(0.0_pReal,i=1,size(N_sl))])
prm%gdot0_slip = pl%get_asFloat('dot_gamma_0_sl')
prm%n_slip = pl%get_asFloat('n_sl')
prm%a_slip = pl%get_asFloat('a_sl')
prm%h0_SlipSlip = pl%get_asFloat('h_0_sl_sl')
prm%dot_gamma_0_sl = pl%get_asFloat('dot_gamma_0_sl')
prm%n_sl = pl%get_asFloat('n_sl')
prm%a_sl = pl%get_asFloat('a_sl')
prm%h_0_sl_sl = pl%get_asFloat('h_0_sl_sl')
! expand: family => system
xi_slip_0 = math_expand(xi_slip_0, N_sl)
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,N_sl)
prm%H_int = math_expand(prm%H_int, N_sl)
xi_0_sl = math_expand(xi_0_sl, N_sl)
prm%xi_inf_sl = math_expand(prm%xi_inf_sl,N_sl)
prm%h_int = math_expand(prm%h_int, N_sl)
! sanity checks
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl'
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl'
if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl'
if (any(xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl'
if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl'
if ( prm%dot_gamma_0_sl <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl'
if ( prm%a_sl <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl'
if ( prm%n_sl <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl'
if (any(xi_0_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl'
if (any(prm%xi_inf_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl'
else slipActive
xi_slip_0 = emptyRealArray
allocate(prm%xi_slip_sat,prm%H_int,source=emptyRealArray)
allocate(prm%interaction_SlipSlip(0,0))
xi_0_sl = emptyRealArray
allocate(prm%xi_inf_sl,prm%h_int,source=emptyRealArray)
allocate(prm%h_sl_sl(0,0))
endif slipActive
!--------------------------------------------------------------------------------------------------
@ -165,52 +165,52 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
N_tw = pl%get_asInts('N_tw', defaultVal=emptyIntArray)
prm%sum_N_tw = sum(abs(N_tw))
twinActive: if (prm%sum_N_tw > 0) then
prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(N_tw,&
pl%get_asFloats('h_tw_tw'), &
phase%get_asString('lattice'))
prm%gamma_twin_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,&
pl%get_asFloats('h_tw_tw'), &
phase%get_asString('lattice'))
prm%gamma_tw_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
xi_twin_0 = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw))
xi_0_tw = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw))
prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal)
prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal)
prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal)
prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal)
prm%gdot0_twin = pl%get_asFloat('dot_gamma_0_tw')
prm%n_twin = pl%get_asFloat('n_tw')
prm%spr = pl%get_asFloat('f_sl_sat_tw')
prm%h0_TwinTwin = pl%get_asFloat('h_0_tw_tw')
prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal)
prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal)
prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal)
prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal)
prm%dot_gamma_0_tw = pl%get_asFloat('dot_gamma_0_tw')
prm%n_tw = pl%get_asFloat('n_tw')
prm%f_sl_sat_tw = pl%get_asFloat('f_sl_sat_tw')
prm%h_0_tw_tw = pl%get_asFloat('h_0_tw_tw')
! expand: family => system
xi_twin_0 = math_expand(xi_twin_0,N_tw)
xi_0_tw = math_expand(xi_0_tw,N_tw)
! sanity checks
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw'
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw'
if (prm%dot_gamma_0_tw <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw'
if (prm%n_tw <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw'
else twinActive
xi_twin_0 = emptyRealArray
allocate(prm%gamma_twin_char,source=emptyRealArray)
allocate(prm%interaction_TwinTwin(0,0))
xi_0_tw = emptyRealArray
allocate(prm%gamma_tw_char,source=emptyRealArray)
allocate(prm%h_tw_tw(0,0))
endif twinActive
!--------------------------------------------------------------------------------------------------
! slip-twin related parameters
slipAndTwinActive: if (prm%sum_N_sl > 0 .and. prm%sum_N_tw > 0) then
prm%h0_TwinSlip = pl%get_asFloat('h_0_tw_sl')
prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(N_sl,N_tw,&
pl%get_asFloats('h_sl_tw'), &
phase%get_asString('lattice'))
prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(N_tw,N_sl,&
pl%get_asFloats('h_tw_sl'), &
phase%get_asString('lattice'))
prm%h_0_tw_sl = pl%get_asFloat('h_0_tw_sl')
prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,&
pl%get_asFloats('h_sl_tw'), &
phase%get_asString('lattice'))
prm%h_tw_sl = lattice_interaction_TwinBySlip(N_tw,N_sl,&
pl%get_asFloats('h_tw_sl'), &
phase%get_asString('lattice'))
else slipAndTwinActive
allocate(prm%interaction_SlipTwin(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0
allocate(prm%interaction_TwinSlip(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0
prm%h0_TwinSlip = 0.0_pReal
allocate(prm%h_sl_tw(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0
allocate(prm%h_tw_sl(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0
prm%h_0_tw_sl = 0.0_pReal
endif slipAndTwinActive
!--------------------------------------------------------------------------------------------------
@ -237,7 +237,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
startIndex = 1
endIndex = prm%sum_N_sl
stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_slip = spread(xi_slip_0, 2, NipcMyPhase)
stt%xi_slip = spread(xi_0_sl, 2, NipcMyPhase)
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal)
if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi'
@ -245,7 +245,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity)
startIndex = endIndex + 1
endIndex = endIndex + prm%sum_N_tw
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_twin = spread(xi_twin_0, 2, NipcMyPhase)
stt%xi_twin = spread(xi_0_tw, 2, NipcMyPhase)
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal)
if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi'
@ -354,20 +354,20 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
sumGamma = sum(stt%gamma_slip(:,of))
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)
!--------------------------------------------------------------------------------------------------
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2)
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4
c_SlipSlip = prm%h_0_sl_sl * (1.0_pReal + prm%c_1*sumF** prm%c_2)
c_TwinSlip = prm%h_0_tw_sl * sumGamma**prm%c_3
c_TwinTwin = prm%h_0_tw_tw * sumF**prm%c_4
!--------------------------------------------------------------------------------------------------
! calculate left and right vectors
left_SlipSlip = 1.0_pReal + prm%H_int
xi_slip_sat_offset = prm%spr*sqrt(sumF)
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
left_SlipSlip = 1.0_pReal + prm%h_int
xi_slip_sat_offset = prm%f_sl_sat_tw*sqrt(sumF)
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) **prm%a_sl &
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset))
!--------------------------------------------------------------------------------------------------
! shear rates
@ -378,11 +378,11 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
!--------------------------------------------------------------------------------------------------
! hardening
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
matmul(prm%h_sl_sl,dot%gamma_slip(:,of)*right_SlipSlip) &
+ matmul(prm%h_sl_tw,dot%gamma_twin(:,of))
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%h_tw_sl,dot%gamma_slip(:,of)) &
+ c_TwinTwin * matmul(prm%h_tw_tw,dot%gamma_twin(:,of))
end associate
end subroutine plastic_phenopowerlaw_dotState
@ -460,29 +460,29 @@ pure subroutine kinetics_slip(Mp,instance,of, &
enddo
where(dNeq0(tau_slip_pos))
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
gdot_slip_pos = prm%dot_gamma_0_sl * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_sl, tau_slip_pos)
else where
gdot_slip_pos = 0.0_pReal
end where
where(dNeq0(tau_slip_neg))
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
gdot_slip_neg = prm%dot_gamma_0_sl * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_sl, tau_slip_neg)
else where
gdot_slip_neg = 0.0_pReal
end where
if (present(dgdot_dtau_slip_pos)) then
where(dNeq0(gdot_slip_pos))
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_sl/tau_slip_pos
else where
dgdot_dtau_slip_pos = 0.0_pReal
end where
endif
if (present(dgdot_dtau_slip_neg)) then
where(dNeq0(gdot_slip_neg))
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_sl/tau_slip_neg
else where
dgdot_dtau_slip_neg = 0.0_pReal
end where
@ -524,15 +524,15 @@ pure subroutine kinetics_twin(Mp,instance,of,&
enddo
where(tau_twin > 0.0_pReal)
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)) & ! only twin in untwinned volume fraction
* prm%dot_gamma_0_tw*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_tw
else where
gdot_twin = 0.0_pReal
end where
if (present(dgdot_dtau_twin)) then
where(dNeq0(gdot_twin))
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
dgdot_dtau_twin = gdot_twin*prm%n_tw/tau_twin
else where
dgdot_dtau_twin = 0.0_pReal
end where